4010540240000 has 480 divisors, whose sum is σ = 11639944572300. Its totient is φ = 1371976704000.

The previous prime is 4010540239999. The next prime is 4010540240023. The reversal of 4010540240000 is 420450104.

It can be written as a sum of positive squares in 10 ways, for example, as 1396575605824 + 2613964634176 = 1181768^2 + 1616776^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2402959166 + ... + 2402960834.

Almost surely, 2^{4010540240000} is an apocalyptic number.

4010540240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010540240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819972286150).

4010540240000 is an abundant number, since it is smaller than the sum of its proper divisors (7629404332300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4010540240000 is an equidigital number, since it uses as much as digits as its factorization.

4010540240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 4010540240000 its reverse (420450104), we get a palindrome (4010960690104).

The spelling of 4010540240000 in words is "four trillion, ten billion, five hundred forty million, two hundred forty thousand".